This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A196410 #17 Jun 30 2023 18:52:22 %S A196410 5,12,28,64,144,320,704,1536,3328,7168,15360,32768,69632,147456, %T A196410 311296,655360,1376256,2883584,6029312,12582912,26214400,54525952, %U A196410 113246208,234881024,486539264,1006632960,2080374784,4294967296,8858370048,18253611008,37580963840,77309411328,158913789952 %N A196410 a(n) = n*2^(n-5). %H A196410 Vincenzo Librandi, <a href="/A196410/b196410.txt">Table of n, a(n) for n = 5..3000</a> %H A196410 <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (4, -4). %F A196410 G.f.: x^5*( 5-8*x ) / (2*x-1)^2 . - _R. J. Mathar_, Oct 13 2011 %F A196410 From _Amiram Eldar_, Jan 12 2021: (Start) %F A196410 Sum_{n>=5} 1/a(n) = 32*log(2) - 131/6. %F A196410 Sum_{n>=5} (-1)^(n+1)/a(n) = 32*log(3/2) - 77/6. (End) %t A196410 Table[n*2^(n-5), {n, 5, 37}] (* _Amiram Eldar_, Jan 12 2021 *) %o A196410 (Magma) [n*2^(n-5): n in [5..40]] %Y A196410 Cf. A045623, A078836. %K A196410 nonn,easy %O A196410 5,1 %A A196410 _Vincenzo Librandi_, Oct 04 2011